Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative

B Ghanbari - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
The paper aims to employ a new effective methodology to build exact fractional solutions to
the generalized nonlinear Schrödinger equation with a local fractional operator defined on …

Conservation laws, optical molecules, modulation instability and Painlevé analysis for the Chen–Lee–Liu model

AR Seadawy, STR Rizvi, I Ali, M Younis, K Ali… - Optical and Quantum …, 2021 - Springer
In this paper, we will compute the conservation laws (CLs) of Chen–Lee–Liu equation
(CLLE) with the help of scaling invariance technique. We will use Euler and Homotopy …

New exact optical soliton solutions for nonlinear Schrödinger equation with second-order spatio-temporal dispersion involving M-derivative

B Ghanbari, JF Gómez-Aguilar - Modern physics letters B, 2019 - World Scientific
This paper considers the generalized nonlinear Schrödinger (GNLS) equation with group
velocity dispersion and second-order spatio-temporal dispersion coefficients. We obtain new …

Investigation of the fractional coupled viscous Burgers' equation involving Mittag-Leffler kernel

TA Sulaiman, M Yavuz, H Bulut… - Physica A: Statistical …, 2019 - Elsevier
This study investigates the fractional coupled viscous Burgers' equation under the Liouville–
Caputo, Atangana–Baleanu and Yang–Srivastava–Machado fractional derivatives. With the …

Chirp-free optical solitons in fiber Bragg gratings with dispersive reflectivity having polynomial law of nonlinearity

AR Seadawy, HM Ahmed, WB Rabie, A Biswas - Optik, 2021 - Elsevier
In this paper, we established soliton solutions and other solutions for the revered optical
Bragg grating fibers that is considered with a cubic–quintic–septic form of medium nonlinear …

Optical solitons with quadratic–cubic nonlinearity and fractional temporal evolution

KU Tariq, M Younis, H Rezazadeh… - … Physics Letters B, 2018 - World Scientific
The paper studies the single and combined optical solitons in the physical model of
telecommunication system that describes the dynamics of optical solitons with quadratic …

An alternate pathway to solitons in magneto-optic waveguides with triple-power law nonlinearity

AR Seadawy, HM Ahmed, WB Rabie, A Biswas - Optik, 2021 - Elsevier
The modified extended direct algebraic method is applied to obtain many new exact travel
wave solutions in magneto-optic waveguides which keep triple power law nonlinearity …

Dispersive optical soliton solutions for higher order nonlinear Sasa-Satsuma equation in mono mode fibers via new auxiliary equation method

MMA Khater, AR Seadawy, D Lu - Superlattices and Microstructures, 2018 - Elsevier
In this research, we apply new technique for higher order nonlinear Schrödinger equation
which is representing the propagation of short light pulses in the monomode optical fibers …

An effective technique for the conformable space-time fractional cubic-quartic nonlinear Schrodinger equation with different laws of nonlinearity

T Mathanaranjan - Computational Methods for Differential …, 2022 - cmde.tabrizu.ac.ir
In the present study, we investigate the conformable space-time fractional cubic-quartic
nonlinear Schrodinger equation with three different laws of nonlinearity namely, parabolic …

Optical soliton solutions of the NLSE with quadratic-cubic-Hamiltonian perturbations and modulation instability analysis

EC Aslan, M Inc - Optik, 2019 - Elsevier
The aim of this paper is to present optical soliton solutions of the nonlinear Schrödinger
equation. Here, the quadratic-cubic nonlinearity in the existence of Hamiltonian …